On fuzzy h-ideals in $$\Upgamma$$ -hemirings

Abstract

By means of a kind of new idea, we introduce the concepts of some kinds of fuzzy h-ideals in C-hemirings. Some new characterization theorems of these kinds of fuzzy h-ideals of a C-hemiring are also given. In particular, we show that the h-hemiregular C-hemirings can be described by using these kinds of fuzzy h-ideals.

Soft Hemirings Related to Fuzzy Set Theory

“…Chen et al [5] presented a new definition of soft set parametrization reduction. Research and application about soft sets can be also found in [1,2,3,6,7,9,12,14,15,21,23,24,25,33]. The most appropriate theory for dealing with uncertainties is the theory of fuzzy sets developed by Zadeh [28,29], there are many papers (see [4,16]) devoted to fuzzify the classical mathematics into fuzzy mathematics.…”